66111120 has 160 divisors (see below), whose sum is σ = 230461440. Its totient is φ = 17418240.

The previous prime is 66111109. The next prime is 66111163. The reversal of 66111120 is 2111166.

66111120 is a `hidden beast` number, since 661 + 1 + 1 + 1 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 66111093 and 66111102.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 274200 + ... + 274440.

It is an arithmetic number, because the mean of its divisors is an integer number (1440384).

Almost surely, 2^66111120 is an apocalyptic number.

66111120 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115230720).

66111120 is an abundant number, since it is smaller than the sum of its proper divisors (164350320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

66111120 is a wasteful number, since it uses less digits than its factorization.

66111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 66111120 is about 8130.8744917137. The cubic root of 66111120 is about 404.3506741871.

Adding to 66111120 its reverse (2111166), we get a palindrome (68222286).

It can be divided in two parts, 661 and 11120, that added together give a triangular number (11781 = T₁₅₃).

The spelling of 66111120 in words is "sixty-six million, one hundred eleven thousand, one hundred twenty".